Prediction of record values |
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Authors: | Alexandre M Berred |
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Institution: | Faculté des Sciences et Techniques , Université du Havre , B.R 540, Le Havre Cedex, 76058, France |
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Abstract: | Given a number of record values from independent and identically distributed random variables with a continuous distribution function F, our aim is to predict future record values under suitable assumptions on the tail of F. In this paper, we are primarily concerned with finding reasonable tolerance regions for future record values. Two methods are proposed. The first one deals with the case where we observe only record values. The second one makes use of the information brought by the complete sample. |
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Keywords: | Extreme values regular variation pareto-tail distribution parameter estimation tolerance regions |
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